Find the missing coordinates on a given shape, reflected in a mirror line, or the midpoints of straight lines. Choose to find coordinates in the first quadrant, or all four quadrants. Provides lots of opportunity to reason about shape and position.
Sort a variety of 2d shapes on a Carroll diagram. Sort by one or two conditions. Sort triangles - scalene, equilateral and isosceles. Sort quadrilaterals, pentagons, hexagons, heptagons and octagons, as well as parallelograms, rhombus, kites and trapeziums. Also sort according to a shapes properties such as acute, obtuse, reflex or right angles and symmetry or whether it is a regular shape.
Updated December 2017 - this is a new version that will work on a tablet or computer.
Sort a variety of 2D shapes on a Venn diagram. Sort by one or two conditions. Sort triangles - scalene, equilateral and isosceles. Sort quadrilaterals, pentagons, hexagons, heptagons and octagons, as well as parallelograms, rhombus, kites and trapeziums. Also sort according to a shapes properties such as acute, obtuse, reflex or right angles and symmetry or whether it is a regular shape.
Use a Venn diagram to sort a variety of 3D shapes according to their properties, including: whether they are pyramids or prisms, the number of faces, edges and vertices and whether they have a curved surface.
This ITP has been remade so that it will work in modern browsers. It will remain free to use.
This ITP displays a grid, which has a ‘mirror’ in the middle. The mirror can be set to a horizontal, vertical or diagonal orientation and then adjusted by dragging it around a central point. Squares on the grid can be highlighted in yellow and the shape created can be moved to a new position on the grid. The reflection of these highlighted squares can be shown in blue, or hidden, with the mirror fixed or while the mirror is being rotated. The ITP can be used to develop children’s understanding of symmetry, to observe the effect of reflecting shapes in mirror lines, and to explore the properties of reflected shapes. You can use the ITP to help children to predict the position of shape that is to be reflected and to look at what happens to an image as the original shape is altered or its position is changed.
View full screen in your browser. This ITP allows you to colour in cells on a grid, a full cell or half a cell, or to place a circular counter into a cell. There are three choices of grid size: 5 by 5, 10 by 10 or 20 by 20. The grid can be hidden or replaced by a pin board around the points of which rubber bands can be stretched. The making of different shapes and patterns can support the teaching of number, shape and space and problem solving, for example, to identify the positions of counters in a given sequence or to find the number of nets of an open cube. The flexibility offered by the ITP allows it to be used to support a variety of teaching and learning contexts in mathematics.
I am remaking the ITPs so that they will work on all modern browsers and tablets. They will remain freely available to all without the need for a subscription.
This ITP allows you to use a marker to identify the coordinates of points on different grids. You can mark points and draw lines and shapes. You have a choice of 1, 2 or 4 quadrants to work in to introduce both positive and negative coordinates.
You can explore the use of the different quadrants by hiding and revealing the grid to support children’s understanding of the coordinate system.
The ITP can also be used to explore the properties of 2-D shapes and to predict translations, rotations and reflections of various shapes in the different quadrants. Interactive whiteboard tools can be used to draw mirror lines or points of rotation.
View full screen in your browser. This ITP allows you to place shapes around a point and investigate their angles. You can opt to display the shapes in one, two or four quadrants. The first shape is placed on the screen in the first quadrant with one of its sides horizontal. Additional shapes are rotated around the central point to fit against the previous shape. In some shapes side lengths and angles are generated randomly. Shapes generated can be dragged to new positions and overlaid to form new intersecting shapes and angles.
View full screen in your browser. This ITP displays regular polygons with 3 to 10 sides. A background grid can be revealed and hidden and the displayed polygon can be enlarged using the pointers on the polygon button. The polygon can be translated and rotated. A vertex on the polygon can be dragged to another position to change its shape and properties. Double clicking on a vertex allows you to add remove the vertex or to add an extra vertex at the mid point of an adjacent side. You can use the ruler or protractor to measure dragging it and using the circular button to rotate it to the required position. The ITP can be used to explore the properties of regular and irregular polygons. Children’s understanding of the angular properties of polygons can be developed. Children’s hypotheses about properties of sides and internal and external angles can be verified by measurement. Using the grid, children can explore the areas of polygons; identify which polygon’s vertices fit onto the grid points and look at how they calculate the areas of rectilinear shapes.
View full screen in your browser. This ITP allows you to create a number of connected vertices on a grid. The grid size can be changed, and the grids hidden and revealed. As each vertex is created it is labelled and joined to the previous one. To close a shape select a vertex at any point and drag it onto the required point to create a closed shape. Once a shape has been created, its vertices can be dragged to new positions to create new shapes. Lengths of sides can be measured using a ruler. The angles created at vertices can be measured using the protractor and their values can be displayed or hidden. For reflex interior angles the value of the exterior angle is shown. You can use the ITP to demonstrate and explore properties of shapes, such as the internal angles of different pentagons and the properties of opposite sides of various parallelograms in different orientations.
View full screen in your browser. This ITP allows you colour the equilateral triangles set out on an isometric grid. The grid can be hidden or become an isometric pin board. An ‘elastic band’ can be stretched around the pins to create outlines. One of three different rhombuses can be selected and dragged to different positions on the grid. These three rhombuses can be locked together to form the isometric view of a cube. Skeleton outlines of rows and columns of cubes can be formed this way and by colouring in two adjacent triangles, coloured faces can be created. The ITP can be used to explore properties of shapes and space. The making of different shapes and patterns can support the teaching of number and problem solving, for example, to explore the interior and exterior angle and symmetry of polygons made up of equilateral triangles and to identify the patterns in triangle numbers. The flexibility offered by the ITP allows it to be used to support a variety of teaching and learning contexts in mathematics. It can be used in conjunction with the Area ITP to look at the nets of 3-D shapes represented on the isometric grid.